Finding the Fourth Proportional to 106.50, 159.72 and 34.35

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 159.72 = 34.35 : x
2. Step 2: Convert to fraction form
   106.50/159.72 = 34.35/x
3. Step 3: Cross multiply
   106.50x = 159.72 × 34.35
4. Step 4: Simplify right side
   106.50x = 5,486.38
5. Step 5: Solve for x
   x = 5,486.38/106.50
6. Step 6: Final answer
   x = 51.52